441261240 has 128 divisors (see below), whose sum is σ = 1517253120. Its totient is φ = 100569600.

The previous prime is 441261211. The next prime is 441261257. The reversal of 441261240 is 42162144.

It is a happy number.

It is a super-2 number, since 2×441261240² = 389422963852675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 441261240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453955 + ... + 454925.

It is an arithmetic number, because the mean of its divisors is an integer number (11853540).

Almost surely, 2^441261240 is an apocalyptic number.

441261240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441261240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758626560).

441261240 is an abundant number, since it is smaller than the sum of its proper divisors (1075991880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

441261240 is a wasteful number, since it uses less digits than its factorization.

441261240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 441261240 is about 21006.2190791204. The cubic root of 441261240 is about 761.3165315650.

The spelling of 441261240 in words is "four hundred forty-one million, two hundred sixty-one thousand, two hundred forty".